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103300033104 = 24332237391451
BaseRepresentation
bin110000000110100101…
…0010110101001010000
3100212122011020101122000
41200031022112221100
53143024302024404
6115242210114000
710314604536162
oct1401512265120
9325564211560
10103300033104
113a89a1a2894
121802ab7b900
139983403b58
144ddd448932
152a48ce7339
hex180d296a50

103300033104 has 160 divisors (see below), whose sum is σ = 298447564800. Its totient is φ = 34208956800.

The previous prime is 103300033099. The next prime is 103300033139. The reversal of 103300033104 is 401330003301.

103300033104 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 0 + 331 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71191579 + ... + 71193029.

It is an arithmetic number, because the mean of its divisors is an integer number (1865297280).

Almost surely, 2103300033104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103300033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149223782400).

103300033104 is an abundant number, since it is smaller than the sum of its proper divisors (195147531696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103300033104 is a wasteful number, since it uses less digits than its factorization.

103300033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103300033104 its reverse (401330003301), we get a palindrome (504630036405).

The spelling of 103300033104 in words is "one hundred three billion, three hundred million, thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 739 892 1338 1451 1478 1784 2007 2217 2676 2902 2956 3568 4014 4353 4434 5352 5804 5912 6021 6651 8028 8706 8868 10704 11608 11824 12042 13059 13302 16056 17412 17736 19953 23216 24084 26118 26604 32112 34824 35472 39177 39906 48168 52236 53208 69648 78354 79812 96336 104472 106416 156708 159624 164797 208944 313416 319248 323573 329594 494391 626832 647146 659188 970719 988782 1072289 1294292 1318376 1483173 1941438 1977564 2144578 2588584 2636752 2912157 2966346 3216867 3882876 3955128 4289156 4449519 5177168 5824314 5932692 6433734 7765752 7910256 8578312 8736471 8899038 9650601 11648628 11865384 12867468 15531504 17156624 17472942 17798076 19301202 23297256 23730768 25734936 28951803 34945884 35596152 38602404 46594512 51469872 57903606 69891768 71192304 77204808 115807212 139783536 154409616 231614424 239120447 463228848 478240894 717361341 956481788 1434722682 1912963576 2152084023 2869445364 3825927152 4304168046 5738890728 6456252069 8608336092 11477781456 12912504138 17216672184 25825008276 34433344368 51650016552 103300033104